70416436965120 has 648 divisors, whose sum is σ = 250071064811568. Its totient is φ = 18294034268160.

The previous prime is 70416436965103. The next prime is 70416436965131. The reversal of 70416436965120 is 2156963461407.

It is a happy number.

70416436965120 is a `hidden beast` number, since 7 + 0 + 4 + 1 + 6 + 4 + 36 + 96 + 512 + 0 = 666.

It is a super-2 number, since 2×70416436965120² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16595905719 + ... + 16595909961.

Almost surely, 2^{70416436965120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70416436965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125035532405784).

70416436965120 is an abundant number, since it is smaller than the sum of its proper divisors (179654627846448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

70416436965120 is a wasteful number, since it uses less digits than its factorization.

70416436965120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5209 (or 5151 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 70416436965120 in words is "seventy trillion, four hundred sixteen billion, four hundred thirty-six million, nine hundred sixty-five thousand, one hundred twenty".